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A Gurson Yield Function for Anisotropic Porous Sheet Metals and its Applications to Failure Prediction of Aluminum Sheets

Published online by Cambridge University Press:  05 May 2011

D.-A. Wang ,
W. Y. Chien ,
K. C. Liao ,
J. Pan  and
S. C. Tang
D.-A. Wang*
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.
W. Y. Chien*
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.
K. C. Liao*
Affiliation:
Department of Mechanical Engineering, Mingchi Institute of Technology, Taipei Hsien, Taiwan 243, R.O C.
J. Pan*
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.
S. C. Tang*
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.
*
*Graduate student
*Graduate student
**Assistant Professor
***Professor
****Visiting Scholar
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Abstract

An approximate anisotropic yield function is presented for anisotropic sheet metals containing spherical voids. Hill's quadratic anisotropic yield function is used to describe the anisotropy of the matrix. The proposed yield function is validated using a three-dimensional finite element analysis of a unit cell model under different straining paths. The results of the finite element computations are shown in good agreement with those based on the yield function with three fitting parameters. For demonstration of applicability, the anisotropic Gurson yield function is adopted in a combined necking and shear localization analysis to model the failure of AA6111 aluminum sheets under biaxial stretching conditions.

Keywords

AnisotropyPorous materialSheet formingFailure
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 161 - 168
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

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